What is the point-slope form of a line that has a slope of negative 4 and passes through point open paren negative 3 comma 1 close paren ?
Answer
A
y minus negative 3 is equal to negative 4 times open paren x minus 1 close paren
B
y minus 1 is equal to negative 4 times open bracket x minus negative 3 close bracket
C
negative 1 minus y sub 1 is equal to negative 4 times open paren negative 3 minus x sub 1 close paren
D
3 minus y sub 1 is equal to negative 4 times open paren 1 minus x sub 1 close paren
Explanation
Use point-slope form: y − y₁ = m(x − x₁). With slope −4 and point (−3, 1), substitute m = −4, x₁ = −3, and y₁ = 1 to get y − 1 = −4(x − (−3)). This matches choice B.
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